A119658 Area of consecutive Prime-Indexed Prime rectangles.

15, 55, 187, 527, 1271, 2419, 3953, 5561, 9047, 13843, 19939, 28103, 34189, 40301, 50851, 66757, 78391, 93673, 116843, 129551, 147167, 172831, 198691, 234649, 278423, 307961, 330481, 351613, 369583, 437453, 523951, 571247, 616081, 684623

Offset

1,1

Comments

This could also be called the product of consecutive Prime-Indexed Primes.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Formula

A prime index is the numerical position of a prime number in the sequence of prime numbers. A Prime-Indexed Prime (PIP) is a prime number whose index is also prime. A Prime-Indexed Prime rectangle is a rectangle whose sides are components of Prime-Indexed Primes.

Example

The second set of consecutive PIPs, 5 and 11, produce a 5 X 11 unit rectangle whose area is 55 square units.

Mathematica

Times@@@Partition[Prime[Prime[Range[40]]], 2, 1] (* Harvey P. Dale, Aug 02 2013 *)

Prog

(PARI) g(n) = for(x=1, n, print1(prime(prime(x))*prime(prime(x+1))", "))

Crossrefs

Sequence in context: A211797 A172436 A119134 * A072745 A141839 A080698

Adjacent sequences: A119655 A119656 A119657 * A119659 A119660 A119661

Keyword

nonn

Author

Cino Hilliard, Jul 28 2006

Status

approved